95742000 has 240 divisors, whose sum is σ = 348540192. Its totient is φ = 25401600.

The previous prime is 95741999. The next prime is 95742019. The reversal of 95742000 is 24759.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485902 + ... + 486098.

Almost surely, 2^95742000 is an apocalyptic number.

95742000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174270096).

95742000 is an abundant number, since it is smaller than the sum of its proper divisors (252798192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

95742000 is a wasteful number, since it uses less digits than its factorization.

95742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 95742000 is about 9784.7841059474. The cubic root of 95742000 is about 457.4751397402.

Adding to 95742000 its reverse (24759), we get a palindrome (95766759).

The spelling of 95742000 in words is "ninety-five million, seven hundred forty-two thousand".